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Scheduling Deteriorating Jobs with Availability Constraints to Minimize the Makespan

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Listed:
  • Chuanli Zhao

    (School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, Liaoning 110034, People’s Republic of China)

  • Hengyong Tang

    (School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, Liaoning 110034, People’s Republic of China)

Abstract

In this paper, we consider the scheduling problem in which the processing time of a job is a linear increasing function of its starting time and machine with availability constraints. The objective is to minimize the makespan. We first present a fully polynomial-time approximation scheme (FPTAS) for the case with a single machine. We then show that there exists no polynomial time approximation algorithm with a constant worst-case bound for the case with two identical machines unless P = NP.

Suggested Citation

  • Chuanli Zhao & Hengyong Tang, 2016. "Scheduling Deteriorating Jobs with Availability Constraints to Minimize the Makespan," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-10, December.
    • Handle: RePEc:wsi:apjorx:v:33:y:2016:i:06:n:s0217595916500482
    DOI: 10.1142/S0217595916500482
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    References listed on IDEAS

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    1. Chuan-Li Zhao & Heng-Yong Tang, 2011. "Single Machine Scheduling With Linear Deteriorating Jobs Under Predictive Disruption," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 28(03), pages 419-429.
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    3. Chin-Chia Wu & Wen-Chiung Lee & Yau-Ren Shiau, 2011. "A Single-Machine Deteriorating Job Scheduling Problem With A Non-Regular Criterion," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 28(03), pages 349-359.
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    7. Ng, C.T. & Barketau, M.S. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2010. ""Product Partition" and related problems of scheduling and systems reliability: Computational complexity and approximation," European Journal of Operational Research, Elsevier, vol. 207(2), pages 601-604, December.
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